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Isomorphism of the Dihedral group!

  1. Jan 20, 2012 #1
    We're doing isomorphisms and I was just wondering, is the dihedral group [itex]D_{12}[/itex] isomorphic to the group of even permutations [itex]A_4[/itex]?
  2. jcsd
  3. Jan 20, 2012 #2
    Let's find out. How many elements of order 2 are there in [itex]A_4[/itex] and [itex]D_{12}[/itex]??
  4. Jan 20, 2012 #3


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    D12 contains 2 elements of order 6 (what are they?). does A4 have any elements of order 6?
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